English

Alexandrov meets Lott--Villani--Sturm

Metric Geometry 2019-09-16 v3 Differential Geometry Optimization and Control

Abstract

Here I show compatibility of two definition of generalized curvature bounds --- the lower bound for sectional curvature in the sense of Alexandrov and lower bound for Ricci curvature in the sense of Lott--Villani--Sturm.

Keywords

Cite

@article{arxiv.1003.5948,
  title  = {Alexandrov meets Lott--Villani--Sturm},
  author = {Anton Petrunin},
  journal= {arXiv preprint arXiv:1003.5948},
  year   = {2019}
}

Comments

11 pages 1 figure